The centre of gravity of a triangle is at the point where three
A. Medians of the triangle meet
B. Perpendicular bisectors of the sides of the triangle meet
C. Bisectors of the angle of the triangle meet
D. None of these
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If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is
A. 3.14 rad/sec 10
B. 3.14 rad/sec 20
C. 3.14 rad/sec 30
D. None of the above
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A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be
A. Zero
B. 5 m/sec
C. 10 m/sec
D. None of these
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Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be
A. Zero
B. 5 m/sec
C. 10 m/sec
D. None of these
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The diagram showing the point of application and line of action of forces in their plane is called
A. Vector diagram
B. Space diagram
C. Force diagram
D. Funicular diagram
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One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is
A. 102.5 kg
B. 105.5 kg
C. 108.5 kg
D. 110 kg
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A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
A. Simple pendulum
B. Compound pendulum
C. Second's pendulum
D. None of these
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When a body falls freely under gravitational force, it possesses
A. Maximum weight
B. Minimum weight
C. No weight
D. No effect on its weight
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Moment of inertia of a squares of side ‘b’ about an axis through its centre of gravity, is
A. 4 b 3
B. 12 b 4
C. 3 b 4
D. 8 b 4
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When two forces, each equal to P, act at 90° to each other, then the resultant will be
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According to Law of Triangle of Forces
A. Three forces acting at a point, can be rep-resented by the sides of a triangle, each side being in proportion to the force
B. Three forces acting along the sides of a triangle are always in equilibrium
C. If three forces acting on a, point can be represented in magnitude and direction, by the sides of a triangle taken in order, these will be in equilibrium
D. If the forces acting on a particle be represented in magnitude and direction by the two sides of a triangle taken in order, their resultant will be represented in magnitude and direction by the third
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The dimensions of centrifugal force are
A. M1 L2 T2
B. M’L’T1
C. M’L’T2
D. M’L-‘T2
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Periodic time of body moving with simple harmonic motion, is
A. Directly proportional to its angular velocity
B. Directly proportional to the square of its angular velocity
C. Inversely proportional to the square of its angular velocity
D. Inversely proportional to its angular velocity
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The height at which the end of a rope of length l should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is
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The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
A. sin ( α − β ) sin ( α + β )
B. sin ( α + β ) sin ( α − β )
C. cos ( α + β ) cos ( α − β )
D. tan ( α + β ) tan ( α − β )
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The C.G. of the shaded area of the bellow figure from the x-axis is
A. 4 a
B. 4 3 a
C. 10 3 b
D. 10 3 a
E. 5 3 a
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The velocity of a body fallen from height ‘h’, on reaching the ground is given by
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The C.G. of a right circular cone lies on its axis of symmetry at a height of
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Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of
A. One-half of the total height above base
B. One-third of the total height above base
C. One-fourth of the total height above base
D. None of these
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The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A. Uniform speed
B. An acceleration
C. Linear momentum
D. Retardation
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